An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces

Research output: Contribution to journalArticle


A high-order accurate, explicit kernel-split, panel-based, Fourier–Nyström discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains. Extensive incorporation of analytic information about singular integral kernels and on-the-fly computation of nearly singular quadrature rules allow for very high achievable accuracy, also in the evaluation of fields close to the boundary of the computational domain.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics
  • Other Electrical Engineering, Electronic Engineering, Information Engineering


  • Singular kernel, Boundary integral equation, Body of revolution, High order discretization, Acoustic resonator, Helmholtz equation
Original languageEnglish
Pages (from-to)686-703
JournalJournal of Computational Physics
Publication statusPublished - 2014
Publication categoryResearch

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Electromagnetic Theory (LUR000030), Numerical Analysis (011015004), Department of Electroscience (011041000)

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